Question 508192
Megs salary starts at 16,000 with annual raises of $1500.  Janes salary starts at 19,300 with annual raises of 950.  How many years will it be until they make the same amount.  Set up in numeric form and solve


Let years for the salaries to be the same be Y
Then Meg’s equation is: 16,000 + Y(1,500), and Jane’s: 19,300 + Y(950)


Setting them equal to each other gives us: 16,000 + Y(1,500) = 19,300 + Y(950)


16,000 + 1,500Y = 19,300 + 950Y


1,500Y – 950Y = 19,300 – 16,000


550Y = 3,300


Y, or years it’ll take for both to earn same salary = {{{3300/550}}} or {{{highlight_green(6)}}}


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Check
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In 6 years Meg will be making 16,000 + 6(1,500) or 16,000 + 9,000, or $25,000
In 6 years Jane will be making 19,300 + 6(950) or 19,300 + 5,700, or $25,000


As seen, both will be making the same annual salary in 6 year’s time.


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